Pith Number

pith:4E6AYPTH

pith:2018:4E6AYPTHAPBS6NONOIYLL3XCQO

not attested not anchored not stored refs pending

Nivat's Conjecture and Pattern Complexity in Algebraic Subshifts

Etienne Moutot, Jarkko Kari

arxiv:1806.07107 v1 · 2018-06-19 · math.DS · cs.DM · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4E6AYPTHAPBS6NONOIYLL3XCQO}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:12:51.838895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e13c0c3e6703c32f35cd7230b5eee283b3d13e11b7c3998c3d0821b6a58f4e43

Aliases

arxiv: 1806.07107 · arxiv_version: 1806.07107v1 · doi: 10.48550/arxiv.1806.07107 · pith_short_12: 4E6AYPTHAPBS · pith_short_16: 4E6AYPTHAPBS6NON · pith_short_8: 4E6AYPTH

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4E6AYPTHAPBS6NONOIYLL3XCQO \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e13c0c3e6703c32f35cd7230b5eee283b3d13e11b7c3998c3d0821b6a58f4e43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7154217c3e31daa3df59cf8288a608327e215eb64028a12eaecf1f2a4de1b586",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-06-19T08:49:17Z",
    "title_canon_sha256": "2c78f970eed8921df2ca4acba6f26a9597fff971c31f5b815d67977a1be2be99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.07107",
    "kind": "arxiv",
    "version": 1
  }
}